A cone has a volume of 12π in3. Which are possible dimensions of the cone? Select all that apply.

A diameter 9 in., height 4 in.
B diameter 6 in., height 4 in.
C diameter 4 in., height 3 in.
D diameter 4 in., height 9 in.
E diameter 3 in., height 4 in.
F diameter 1 in., height 12 in.

51840000 cm 2

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

1. supplementary angles

2. acd and bcd

step-by-step explanation: